Statistical MechanicsUnlike most other texts on the subject, this clear, concise introduction to the theory of microscopic bodies treats the modern theory of critical phenomena. Provides up-to-date coverage of recent major advances, including a self-contained description of thermodynamics and the classical kinetic theory of gases, interesting applications such as superfluids and the quantum Hall effect, several current research applications, The last three chapters are devoted to the Landau-Wilson approach to critical phenomena. Many new problems and illustrations have been added to this edition. |
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Page 222
... formula for the partition function for an ideal Bose gas of N particles . 10.2 . ( a ) Find the equations of state for an ideal Bose gas and an ideal Fermi gas in the limit of high temperatures . Include the first correction due to ...
... formula for the partition function for an ideal Bose gas of N particles . 10.2 . ( a ) Find the equations of state for an ideal Bose gas and an ideal Fermi gas in the limit of high temperatures . Include the first correction due to ...
Page 290
... formula , the excitation of one particle from the mo- mentum state p = 0 to a state of infinitesimal momentum changes the energy by the finite amount Δ = 2παρ m Thus the single - particle energy spectrum is separated from the zero ...
... formula , the excitation of one particle from the mo- mentum state p = 0 to a state of infinitesimal momentum changes the energy by the finite amount Δ = 2παρ m Thus the single - particle energy spectrum is separated from the zero ...
Page 447
... formula ( Φ . , ΩΦ . ) : = N ( N N ! 2 - 1 ) Σ ( ( Pa1 , Pa2 | v | Pα1 , Pa2 ) — ( Pɑ1 , Pα2 | v | Pɑ2 , Pα1 ) ) Noting that n = 0 , 1 we obtain in place of ( A.33 ) the formula ( A.37 ) ( Φη , ΩΦη ) QPn ) = } Σ n ̧ng ( { a , ß | v | α ...
... formula ( Φ . , ΩΦ . ) : = N ( N N ! 2 - 1 ) Σ ( ( Pa1 , Pa2 | v | Pα1 , Pa2 ) — ( Pɑ1 , Pα2 | v | Pɑ2 , Pα1 ) ) Noting that n = 0 , 1 we obtain in place of ( A.33 ) the formula ( A.37 ) ( Φη , ΩΦη ) QPn ) = } Σ n ̧ng ( { a , ß | v | α ...
Contents
THE LAWS OF THERMODYNAMICS | 3 |
SOME APPLICATIONS OF THERMODYNAMICS | 33 |
THE PROBLEM OF KINETIC THEORY | 55 |
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absolute zero approximation assume assumption atoms average becomes Boltzmann Bose calculate called canonical ensemble classical collision complete condition consider constant contains coordinates corresponds defined definition denoted density depends derivation determined discussion distribution effect eigenvalues elements energy ensemble entropy equal equation equilibrium excited exists expansion external fact Fermi field finite given ground Hamiltonian heat Hence ideal independent integral interaction lattice levels limit liquid magnetic mass matrix mean molecular molecules momentum n₁ obtain occupation operator particles partition function phase physical positive possible potential pressure probability problem properties quantity quantum quantum mechanics region represented respectively result satisfies shown in Fig solution specific statistical mechanics temperature theorem theory thermodynamic transformation transition unit V₁ V₂ valid volume wave function